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3 years ago

11

Find the volume of a cone with a height of 6 cm and a base diameter of 8 cm,

1 answer:

Leona [35]3 years ago

8 0

Answer:

1/3hπr²= 1/3×6×3.14×(4)²

=100.48cm³

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10. To get from point A to point B you must avoid walking through a pond. To

Salsk061 [2.6K]

Answer:

22 meters.

Step-by-step explanation:

There is a pond between two points A and B.

To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.

Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.

The two legs of the right triangle are AC and CB.

Applying Pythagoras Theorem, AB² = AC² + CB² = 34² + 41² = 2837

⇒ AB = 53 meters (Rounded to the nearest meter)

Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond. (Answer)

5 0

3 years ago

John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th

allsm [11]

Answer:

$Area = 30$

Step-by-step explanation:

Given

Rectangle coordinates

$A = (0,4)$

$B = (4,2)$

$C = (1,-4)$

$D =(-3,-2)$

Required

The area of the rectangle

The area is calculated as:

$Area = Length* Width$

The length of the rectangle will be represented as:

$Length = AB = CD$

And the width is:

$Width = BC = AD$

Calculate distance AB using:

$AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

Where:

$A = (0,4)$ --- $(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }$

$AB = \sqrt{(- 4)^2 +(2)^2 }$

$AB = \sqrt{16 +4 }$

$AB = \sqrt{20}$

Calculate distance BC using:

$BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

$C = (1,-4)$ $---(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }$

$BC = \sqrt{(- 3)^2 +(-6)^2 }$

$BC = \sqrt{9 +36}$

$BC = \sqrt{45}$

So, the area is:

$Area = Length * Width$

$Area = AB * BC$

$Area = \sqrt{20} * \sqrt{45}$

$Area = \sqrt{20 * 45}$

$Area = \sqrt{900$

$Area = 30$

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3 years ago

25 POINTS URGENT WILL GIVE BRAINLIEST!!!

Sophie [7]

Answer:

im pretty sure the triangle one is 2,1 but im not sure what the next is. also you can message me on discord if you ever need to talk or if you wanna help eachother with attendance quizzes. Ericishere#6881

Step-by-step explanation:

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3 years ago

the equation of line L is 2x+y=3 line M is parallel to line L and passes through (1,-6) work out the equation of line give your

bekas [8.4K]

Answer:

y=-2x-4

Step-by-step explanation:

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3 years ago

Please help with math

OleMash [197]

Answer:

i think linear

Step-by-step explanation:

let me know if this is wrong

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3 years ago